For all m = 0 (mod 41, for all n = 0 or 2 (mod m), and for all n = 1 (mod 2m) w e find an m-cycle decomposition of the line graph of the complete graph K,. In particular, this solves the existence problem when m is a power of two.
Cyclic even cycle systems of the complete graph
β Scribed by Shung-Liang Wu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 164 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
Abstract
In this article, it is proved that for each even integer mβ©Ύ4 and each admissible value n with n>2__m__, there exists a cyclic mβcycle system of K~n~, which almost resolves the existence problem for cyclic mβcycle systems of K~n~ with m even. Β© 2011 Wiley Periodicals, Inc. J Combin Designs 20:23β39, 2012
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